Our recent paper "Gap Sets for the Spectra of Cubic Graphs" which harnesses condensedmatterphysics methods for computing tightbinding band structures to tackle questions about the possible spectra of adjacency operators on 3regular graphs was accepted for publication in a new journal of the A
Welcome to the Kollár Research Group
The field of circuit QED has emerged as a rich platform for both quantum computation and quantum simulation. Lattices of coplanar waveguide (CPW) resonators realize artificial photonic materials in the tightbinding limit. Combined with strong qubitphoton interactions, these systems can be used to study dynamical phase transitions, manybody phenomena, and spin models in drivendissipative systems. These waveguide cavities are uniquely deformable and can produce lattices and networks which cannot readily be obtained in other systems, including periodic lattices in a hyperbolic space of constant negative curvature, and the onedimensional nature of CPW resonators leads to degenerate flat bands. In our lab, we build experimental implementations of these systems using superconducting circuits.
Postdoc and graduate student positions available! Send email to: akollar@umd.edu
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Group News

June 09, 2021

May 14, 2020
New mathematical physics result is on the arXiv (2005.05379), including unique quasionedimensional lattices with the largest possible bang gaps.

October 07, 2019
Our mathematicalphysics paper on the connection between circuit QED lattices and combinatorial graph theory (LineGraph Lattices: Euclidean and NonEuclidean Flat Bands and Implementations in Circuit QED) was accepted fro Publication in a mathematical journal: "Communications in Mathema

October 04, 2019
JQI has named four new Fellows in 2019, bringing the total number to 35. All four of the new arrivals have appointments in the Department of Physics at the University of Maryland.